Work

Sharp Phase Transition for the Random-Cluster Model with Summable External Magnetic Field

Year: 2020

Type: preprint

Abstract: In this paper, we prove sharpness of the phase transition for the random-cluster model in summable positive external fields, with cluster weight q=2,3,..., on the hypercubic lattice. That is, there exists some nontrivial critical parameter that depends on the cluster weight and the external field, below which the model exhibits exponential decay and above which there exists almost surely an infinite cluster.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2011.11899

Author: Vila, Roberto

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

OpenAlex ID: W3106986063

Cites: 29

Cited by:

Related to: 20